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Finding the Third Proportional to 501,912.75 and 764,631.75

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Solution

The third proportional to 501,912.75 and 764,631.75 is: 1,164,867.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    501,912.75 : 764,631.75 = 764,631.75 : x
  2. Step 2: Convert to fraction form
    501,912.75/764,631.75 = 764,631.75/x
  3. Step 3: Cross multiply
    501,912.75x = 764,631.75 × 764,631.75
  4. Step 4: Simplify right side
    501,912.75x = 584,661,713,108.06
  5. Step 5: Solve for x
    x = 584,661,713,108.06/501,912.75
  6. Step 6: Final answer
    x = 1,164,867.23

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These problems maintain the same ratio (1.52) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.